Maricopa Community Colleges  MAT156   19996-20012 
Official Course Description:   MCCCD Approval:  12/08/98
MAT156      19996-20012 LEC 3 Credit(s) 3 Period(s)
Theory of Elementary Mathematics
Investigation of mathematical principles and process with an emphasis on various teaching methodologies. Includes number systems, intuitive geometry, problem solving, elementary algebra, measurement, elementary statistics, and probability. Designed to meet the requirements for preservice elementary school teachers. Prerequisites: Grade of "C" or better in MAT150 or MAT151 or MAT152 or equivalent, or satisfactory score on District placement exam.
 
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MCCCD Official Course Competencies:
 
MAT156   19996-20012 Theory of Elementary Mathematics
1. Practice different methods of investigating mathematical concepts. (I, II,III,IV,V,VI,VII,VIII)
2. Use problem solving and critical thinking skills as outlined in the National Council of Teachers of Mathematics Curriculum and Evaluation Standards, and Arizona Skills in Mathematics. (I,II,III,IV,V,VI,VII, VIII)
3. Demonstrate a reduction in mathematical anxiety. (I,II,III,IV,V,VI, VII,VIII)
4. Identify and use resources available for the teaching of mathematics. (I,II,III,IV,V,VI,VII,VIII)
5. Apply mathematics across the curriculum and in everyday situations. (I,II,III,IV,V,VI,VII,VIII)
6. Integrate mathematical concepts. (I,II,III,IV,V,VI,VII,VIII)
7. Examine the impact of technology on the teaching of mathematics. (VII)
8. Demonstrate arithmetic proficiency at a 90% level. (I,V)
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MCCCD Official Course Outline:
 
MAT156   19996-20012 Theory of Elementary Mathematics
    I. Numeration Systems
        A. The Real Number System
          1. Development of Arithmetic Algorithms on Subsets of the Real Numbers
          2. Properties of the Real Number Systems
        B. Alternative Number Systems
      II. Set Theory
          A. Set Operations
          B. Venn Diagrams
        III. Problem Solving Techniques
            A. Organized Trial and Error
            B. Patterning
            C. Organizing Data
            D. Modeling
            E. Algebraic Methods
            F. Systematic Elimination of Alternatives
          IV. Geometry
              A. Terminology
              B. Two-Dimensional Figures
              C. Three-Dimensional Figures
              D. Symmetry
            V. Measurement
                A. Non-Standard Measurement
                B. Standard Measurement
                C. One-, Two-, and Three-Dimensional Applications
              VI. Probability and Statistics
                  A. Experiments
                  B. Measures of Central Tendency and Variation
                  C. Graphs
                VII. Teaching Tools
                    A. Calculators as Problem-Solving Tools
                    B. Manipulatives
                    C. Computer Usage
                  VIII. Mathematical Communication
                      A. Written
                      B. Oral
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